Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

36 in. long, and its cross-sectional dimensions are b = 3.0 in.,
d = 5.0 in., and t = 0.375 in. Determine
(a) the angle of twist of one end relative to the other end.
(b) the maximum shear stress in the angle.
Centerline
z
t
(typ)
FIGURE p6.58
p6.59 A torque T = 9,000 lb ⋅ ft will be applied to the hollow,
thin-walled stainless steel section shown in Figure P6.59. The dimensions
of the cross section are a = 4.0 in., b = 6.0 in., c = 5.0 in.,
and d = 8.0 in. If the maximum shear stress must be limited to 12 ksi,
determine the minimum thickness t required for the section.
(Note: The dimensions shown are measured to the wall centerline.)
a
b
y
t
(typ)
b
d
p6.61 A torque T = 4,200 kN ⋅ m is applied to a torsion member
whose cross section is shown in Figure P6.61. The dimensions of the
cross section are a = 600 mm, b = 1,080 mm, d = 1,660 mm, t 1 =
18 mm, t 2 = 9 mm, and t 3 = 15 mm. The dimensions given for a, b,
and d are measured to the wall centerline. Determine the average
shear stress acting at points A, B, and C.
a
B
A
FIGURE p6.61
C
b
p6.62 A torque T = 190 lb ⋅ ft is applied to a torsion member
whose cross section is shown in Figure P6.62. The dimensions of
the cross section are a = 0.75 in., b = 2.25 in., c = 1.00 in., d = 2.75 in.,
t 1 = 0.065 in., and t 2 = 0.120 in. Determine the maximum average
shear stress developed in the section. (Note: The dimensions shown
are measured to the wall centerline.)
t 1
t 2 t 2
t 3
a
d
d
c
c
B
C
FIGURE p6.59
p6.60 A torque T = 9.7 kN ⋅ m will be applied to the hollow, thinwalled
aluminum alloy section shown in Figure P6.60. The dimensions
of the cross section are a = 150 mm, t 1 = 15 mm, and t 2 =
6 mm. Determine the magnitude of the maximum shear stress developed
in the section.
t 1
t 1 t 2
A
t 1
a
t 2
D
b
FIGURE p6.62
E
d
A
t 2
a
t 1
t 1
B
FIGURE p6.60
a
C
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